Since you seem to know your stuff, why do LLMs need so much data anyway? Humans don't. Why can't we make models aware of their own uncertainty, e.g. feeding the variance of the next token distribution back into the model, as a foundation to guide their own learning. Maybe with that kind of signal, LLMs could develop 'curiosity' and 'rigorousness' and seek out the data that best refines them themselves. Let the AI make and test its own hypotheses, using formal mathematical systems, during training.